Facial Telangiectasias or "Broken capillaries," as they are commonly known, are routinely treated by lasers. For individual or small discrete spots especially ones around the nose that you mentioned, the pulsed-dye laser (V Beam, Cynergy) are the standards.These are non-invasive procedures without any significant healing time other than an occasional bruise lasting for 4-7 days. Generally there ae 2-3 treatments required for clearing the veins.
For small and diffuse wide spread ones that create an overall redness over the face, IPL or fotofacial treatments are better. These will require a series of 3-5 treatments to achieve an ideal result. They are safe and have no down time. They also work well for brown spots from the sun so they can provide an overall rejuvenating effect.
Most patients find these treatments to be very satisfying and easily tolerated.